The Non-Markovian stochastic Schrödinger equation for the position unravelling

The Non-Markovian stochastic Schrödinger equation for the position unravelling

Author

Gambetta, Jay; Wiseman, Howard Mark

Journal Name

Journal of Optics B: Quantum and Semiclassical Optics

Year Published

2004

Place of publication

UK

Publisher

Institute of Physics Publishing

Abstract

An important and well established area of quantum optics is the theory of Markovian stochastic Schrödinger equations (or by another name quantum trajectory theory). Recently stochastic Schrödinger equations have been developed for non-Markovian systems. In this paper we extend the current known stochastic Schrödinger equations for non-Markovian systems to include the position unravelling. We also discuss and illustrate that this stochastic Schrödinger equation can have an interpretation under both the orthodox and the de Broglie–Bohm hidden variable interpretation of quantum mechanics. We conclude that only the de Broglie–Bohm hidden variable theory provides a continuous-in-time interpretation of the non-Markovian stochastic Schrödinger equation.

Copyright 2004 Institute of Physics Publishing. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher.Please refer to the journal's website for access to the definitive, published version.